GCD of 78, 674, 255, 777 Calculator

Given Input numbers are 78, 674, 255, 777

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Divisors of 255

List of positive integer divisors of 255 that divides 255 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255

Divisors of 777

List of positive integer divisors of 777 that divides 777 without a remainder.

1, 3, 7, 21, 37, 111, 259, 777

Greatest Common Divisior

We found the divisors of 78, 674, 255, 777 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 78, 674, 255, 777 is 1.

Therefore, GCD of numbers 78, 674, 255, 777 is 1

Given Input Data is 78, 674, 255, 777

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 674 is 2 x 337

Prime Factorization of 255 is 3 x 5 x 17

Prime Factorization of 777 is 3 x 7 x 37

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(78, 674) = 26286

GCD(78, 674) = ( 78 x 674 ) / 26286

GCD(78, 674) = 52572 / 26286

GCD(78, 674) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 255

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 255) = 510

GCD(2, 255) = ( 2 x 255 ) / 510

GCD(2, 255) = 510 / 510

GCD(2, 255) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 777

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 777) = 777

GCD(1, 777) = ( 1 x 777 ) / 777

GCD(1, 777) = 777 / 777

GCD(1, 777) = 1

GCD of 78, 674, 255, 777 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 31, 541, 467, 442
• GCD of 39, 492, 118, 730
• GCD of 97, 482, 381, 307
• GCD of 57, 246, 309, 187
• GCD of 71, 391, 971, 238

1. What is the GCD of 78, 674, 255, 777?

GCD of 78, 674, 255, 777 is 1

2. Where do I get the detailed procedure to find GCD of 78, 674, 255, 777?

You can find a detailed procedure to find GCD of 78, 674, 255, 777 on our page.

3. How to find GCD of 78, 674, 255, 777 on a calculator?

You can find the GCD of 78, 674, 255, 777 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.